18491200 has 168 divisors, whose sum is σ = 56440832. Its totient is φ = 5806080.

The previous prime is 18491177. The next prime is 18491201. The reversal of 18491200 is 219481.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18491201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145537 + ... + 145663.

Almost surely, 2^18491200 is an apocalyptic number.

18491200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28220416).

18491200 is an abundant number, since it is smaller than the sum of its proper divisors (37949632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18491200 is a wasteful number, since it uses less digits than its factorization.

18491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 18491200 is about 4300.1395326198. The cubic root of 18491200 is about 264.4366816344.

The spelling of 18491200 in words is "eighteen million, four hundred ninety-one thousand, two hundred".